7/9 as a decimal

How to convert this fraction

Divide 7 by 9 using integer long division. The whole-number part is 0; the remaining fraction is 7/9.

1. Bring down a zero: remainder × 10 gives the next decimal digit 7; the new remainder is 7.

The remainder repeats, so the decimal repeats with 7 as the repeating cycle. The displayed value 0.777777777778 is rounded; the exact value remains 7/9.

Check: 0 × 9 + 7 = 7, so the quotient and remainder reconstruct the original fraction.